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Natural Logs

Natural Logs. Section 8.6. Evaluate. Solve. Carbon-14 is used to study fossil remains. It has a half-life of 5760 years. What is the age of a fossil with 1/5 of its carbon-14 remaining?

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Natural Logs

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  1. Natural Logs Section 8.6

  2. Evaluate. Solve.

  3. Carbon-14 is used to study fossil remains. It has a half-life of 5760 years. What is the age of a fossil with 1/5 of its carbon-14 remaining? • Medical research indicates that the risk of having a car accident increases exponentially as the concentration of alcohol in the blood increases. The risk is modeled by: R= , where x is the blood alcohol concentration and R, given as a percent, is the risk of having a car accident. What blood alcohol concentration corresponds to a 17% risk of a car accident?

  4. The exponential decay model for Carbon-14 is • Prehistoric cave paintings were discovered in a cave in France. The paint contained 15% of the orginal carbon14. Estimate the age of the paintings. Log Word Problems

  5. Homework Wkst: word problems Page 465 #14-38

  6. Solutions to worksheet 9 • a) 88 • b) 71.5, 58.8, 52.03, 49.5 • .08 • a) 203 million • b) 35.5 years • c) 49.5 years • 5.76% • 18.4 min • $100,366.92 • a) 33.5 • b)402.36 days • 13,1374.3 yrs • 19.1 years • 27 years • 36.02 • $3093.92 • $5,654,365,339 • a) 15,678.7 years • b) 1056.5 years • c) 24,758 years old • 6.5% is the rate of decay; • After 34 years, it is irreversible. • 16. 50.5 years

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